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Finding the Fourth Proportional to 408,839.40, 613,915.20 and 309,112.20

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Solution

The fourth proportional to 408,839.40, 613,915.20 and 309,112.20 is: 464,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,839.40 : 613,915.20 = 309,112.20 : x
  2. Step 2: Convert to fraction form
    408,839.40/613,915.20 = 309,112.20/x
  3. Step 3: Cross multiply
    408,839.40x = 613,915.20 × 309,112.20
  4. Step 4: Simplify right side
    408,839.40x = 189,768,678,085.44
  5. Step 5: Solve for x
    x = 189,768,678,085.44/408,839.40
  6. Step 6: Final answer
    x = 464,164.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.